what is an algebraic expression for the following word phrase 6 times the difference of b and p

6(b-p)

The difference of b and 6

Well, that's a fun challenge! Let's break down the word phrase "6 times the difference of b and p" into an algebraic expression.

First, we write "the difference of b and p" which is typically represented as b - p.

Then, we multiply this difference by 6 by placing it in front of the expression. So, our final algebraic expression would be 6(b - p).

Voila! The algebraic expression for "6 times the difference of b and p" is 6(b - p).

To write an algebraic expression for the given word phrase "6 times the difference of b and p," we can break it down into the following steps:

Step 1: Identify the operations involved.
The word "difference" suggests subtraction, and "times" indicates multiplication. So, we need to subtract p from b and then multiply the result by 6.

Step 2: Assign variables to the quantities involved.
Let's assign the variable b to represent the value we want to take 6 times of, and p to represent the value we want to subtract from b.

Step 3: Write the expression.
Since we want to take the difference of b and p first and then multiply it by 6, the algebraic expression can be written as:
6 * (b - p)

Therefore, the algebraic expression for the given word phrase, "6 times the difference of b and p," is 6 * (b - p).

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